Shielding Effectiveness of Magnetostatically-Biased Anisotropic Graphene by the Method of Auxiliary Sources With a Surface Current Boundary Condition

Extensive experimental data and numerical simulations show that graphene is an ideal shielding material in the RF/microwave region. In most cases, it is considered to be isotropic with its scalar surface conductivity given by the Kubo formula. However, when it is electrostatically- and magnetostatically-biased, it exhibits anisotropy described by a surface conductivity tensor. The main objective of this work is to evaluate the shielding effectiveness (SE) of anisotropic graphene in the RF/microwave region. Since graphene’s thickness is many orders of magnitude smaller than the shortest wavelength in the considered regime, it does not affect substantially the computation of the fields. For this reason, we replace the graphene layer with a surface current boundary condition (SCBC), hence its effect is equivalent to a surface electric current density. We employ the method of auxiliary sources (MAS) to analyze a planar and a cylindrical shielding configuration. For the cylindrical shield, the derived MAS results are compared with the exact solutions, which are also extracted. For the planar shield, the results are compared to those obtained by finite element method (FEM)-based commercial software. In both cases, excellent agreement is observed.